How Do You Calculate the Specific Heat Capacity of an Object?

AI Thread Summary
To calculate the specific heat capacity of an object, the heat lost by the water must equal the heat gained by the object. The formula involves the specific heat capacity of water, its mass, and the change in temperature. In this case, the water's mass is 1.2 kg, with a temperature change from 28°C to 26°C, resulting in a heat loss calculation. The heat gained by the object, which has a mass of 0.6 kg and starts at 6°C, can be determined using the same principles. By equating the heat lost by the water to the heat gained by the object, the specific heat capacity of the object can be calculated.
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The question I'm currently working on:
When 0.6 kg of an object at 6 degree Celsius is put inside a beaker of water of mass 1.2Kg at 28 degree Celsius, the final temperature of water is 26 degree Celsius. Assuming no heat lost to the surroundings and the heat absorbed by the beaker is negligible, calculate the specific heat capacity of the object. (Specific heat capacity of water is 4200 J KG-1 K-1)

So far.. MY solution is:

Thermal energy, Q= specific heat capacity of water x mass of object and water x the change in temperature
which is: 4200 x 1.8 x (-8) = -60480

I am really clueless right now.. Hope you guys are able to help and guide me with this one..
 
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Nearly correct,
The change in energy of the water is:
Q1 = specific heat of water * mass of WATER * change in temperature of water

Then you can use this with:
Q2 = specific heat of object * mass of OBJECT * change in temperature of object

Since no heat is lost, Q1 lost by water equals the Q2 gained by object.
 
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